Question 9 (Multiple Choice Worth 1 points) (05.02 LC) For the following system, if you isolated \( x \) in the second equation to use the substitution method, what expression would you substitute into the first equation? \( \begin{array}{l}2 x+y=8 \\ -x-3 y=-12\end{array} \)

To isolate \( x \) in the second equation \(-x-3y=-12\), you would rearrange it to get \( x = -3y - 12 \). This expression represents \( x \) in terms of \( y\). You'd then substitute this expression for \( x \) into the first equation \( 2x + y = 8\), turning it into \( 2(-3y - 12) + y = 8\). Now you can combine the fun of solving equations with a trip down the math memory lane! The elimination and substitution methods aren’t just about finding answers; they provide pathways through a mathematical landscape that dates back to the ancient Babylonians who used similar methods over 4,000 years ago to solve linear equations. Don't you love how the secrets of the past help us tackle the math challenges of today?